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Finding the Third Proportional to 433,299 and 669,616.50

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Solution

The third proportional to 433,299 and 669,616.50 is: 1,034,819.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,299 : 669,616.50 = 669,616.50 : x
  2. Step 2: Convert to fraction form
    433,299/669,616.50 = 669,616.50/x
  3. Step 3: Cross multiply
    433,299x = 669,616.50 × 669,616.50
  4. Step 4: Simplify right side
    433,299x = 448,386,257,072.25
  5. Step 5: Solve for x
    x = 448,386,257,072.25/433,299
  6. Step 6: Final answer
    x = 1,034,819.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.